Question

If h(x) = 2x and k(x) = 2x - 4, what is h(k(x))?

Answer 1

The composition of the functions h(k(x)) is found by substituting k(x) into h(x), resulting in the simplified expression 4x - 8.

Step-by-step explanation:

To find h(k(x)), we need to substitute the function k(x) into the function h(x). Let's start with the given functions:

• h(x) = 2x
• k(x) = 2x - 4

Now, we will substitute k(x) into h(x):

1. First, we write down h(x) which is 2x.
2. Next, wherever there is an x in h(x), we replace it with k(x) so we have h(k(x)) = 2(2x - 4).
3. Simplify the expression: h(k(x)) = 4x - 8.

Therefore, h(k(x)) equals 4x - 8 when the function k(x) is substituted into h(x).

Answer 2

To find h(k(x)), substitute k(x) into h(x):

h(k(x)) = 2x

= 2(2x - 4)

= 4x - 8

Thus, h(k(x)) = 4x - 8 would be your final answer.